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Volumn 98, Issue 3, 1998, Pages 569-592

Second-order efficiency conditions and sensitivity of efficient points

Author keywords

Efficiency; Efficiency conditions; Multi objective programming; Multicriteria optimization; Post Pareto analysis; Proper efficiency; Sensitivity analysis; Vector optimization; Weak efficiency

Indexed keywords

BANACH SPACES; MULTIOBJECTIVE OPTIMIZATION; SENSITIVITY ANALYSIS; VECTOR SPACES;

EID: 0038897072     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022619928631     Document Type: Article
Times cited : (29)

References (25)
  • 3
    • 0001451306 scopus 로고
    • First-and second-order sensitivity analysis of nonlinear programs under constraint qualification conditions
    • AUSLENDER, A., and COMINETTI, R., First-and Second-Order Sensitivity Analysis of Nonlinear Programs under Constraint Qualification Conditions, Optimization, Vol. 21, pp. 351-363, 1990.
    • (1990) Optimization , vol.21 , pp. 351-363
    • Auslender, A.1    Cominetti, R.2
  • 5
    • 0021466350 scopus 로고
    • Differentiability of relations and differential stability of perturbed optimization problems
    • PENOT, J. P., Differentiability of Relations and Differential Stability of Perturbed Optimization Problems, SIAM Journal of Control and Optimization, Vol. 22, pp. 529-551, 1984.
    • (1984) SIAM Journal of Control and Optimization , vol.22 , pp. 529-551
    • Penot, J.P.1
  • 6
    • 0016952838 scopus 로고
    • Regularity and stability for convex multivalued functions
    • ROBINSON, S. M., Regularity and Stability for Convex Multivalued Functions, Mathematics of Operation Research, Vol. 1, pp. 130-145, 1976.
    • (1976) Mathematics of Operation Research , vol.1 , pp. 130-145
    • Robinson, S.M.1
  • 7
  • 8
    • 0039076996 scopus 로고
    • Conditions for constrained efficient solutions of multiobjective problems in Banach spaces
    • TANG, Y., Conditions for Constrained Efficient Solutions of Multiobjective Problems in Banach Spaces, Journal of Mathematical Analysis and Applications, Vol. 96, pp. 505-519, 1983.
    • (1983) Journal of Mathematical Analysis and Applications , vol.96 , pp. 505-519
    • Tang, Y.1
  • 9
    • 0022809458 scopus 로고
    • A survey of vector optimization in infinite -dimensional spaces, part 2
    • DAUER, J. P., and STADLER, W., A Survey of Vector Optimization in Infinite -Dimensional Spaces, Part 2, Journal of Optimization Theory and Applications, Vol. 51, pp. 205-241, 1986.
    • (1986) Journal of Optimization Theory and Applications , vol.51 , pp. 205-241
    • Dauer, J.P.1    Stadler, W.2
  • 10
    • 0010876161 scopus 로고
    • Linear multicriteria sensitivity and shadow costs
    • BOLINTINÉANU, S., and CRAVEN, B. D., Linear Multicriteria Sensitivity and Shadow Costs, Optimization, Vol. 26, pp. 115-127, 1992.
    • (1992) Optimization , vol.26 , pp. 115-127
    • Bolintinéanu, S.1    Craven, B.D.2
  • 12
    • 0000822240 scopus 로고
    • Approximation in multiobjective programming
    • LEMAIRE, B., Approximation in Multiobjective Programming, Journal of Global Optimization, Vol. 2, pp. 117-132, 1992.
    • (1992) Journal of Global Optimization , vol.2 , pp. 117-132
    • Lemaire, B.1
  • 14
    • 0022711569 scopus 로고
    • An algorithm for optimizing over the weakly-efficient set
    • BENSON, H. P., An Algorithm for Optimizing over the Weakly-Efficient Set, European Journal of Operational Research, Vol. 25, pp. 192-199, 1986.
    • (1986) European Journal of Operational Research , vol.25 , pp. 192-199
    • Benson, H.P.1
  • 16
    • 0040260804 scopus 로고    scopus 로고
    • Pénalisation dans l'optimisation sur l'ensemble faiblement efficient
    • BOLINTINÉANU, S., and EL MAGHRI, M., Pénalisation dans l'Optimisation sur l'Ensemble Faiblement Efficient, RAIRO-Operations Research, Vol. 31, pp. 295-310, 1997.
    • (1997) RAIRO-operations Research , vol.31 , pp. 295-310
    • Bolintinéanu, S.1    El Maghri, M.2
  • 17
    • 38249003331 scopus 로고
    • Optimality conditions for minimization over the (weakly or properly) efficient set
    • BOLINTINÉANU, S., Optimality Conditions for Minimization over the (Weakly or Properly) Efficient Set, Journal of Mathematical Analysis and Applications, Vol. 173, pp. 523-541, 1993.
    • (1993) Journal of Mathematical Analysis and Applications , vol.173 , pp. 523-541
    • Bolintinéanu, S.1
  • 18
    • 0027663463 scopus 로고
    • Necessary conditions for nonlinear suboptimization over the weakly-efficient set
    • BOLINTINÉANU, S., Necessary Conditions for Nonlinear Suboptimization over the Weakly-Efficient Set, Journal of Optimization Theory and Applications, Vol. 78, pp. 579-598, 1993.
    • (1993) Journal of Optimization Theory and Applications , vol.78 , pp. 579-598
    • Bolintinéanu, S.1
  • 19
    • 0020736483 scopus 로고
    • Efficiency and proper efficiency in vector maximization with respect to cones
    • BENSON, H. P., Efficiency and Proper Efficiency in Vector Maximization with Respect to Cones, Journal of Mathematical Analysis and Applications, Vol. 93, pp. 273-289, 1983.
    • (1983) Journal of Mathematical Analysis and Applications , vol.93 , pp. 273-289
    • Benson, H.P.1
  • 22
    • 0040260802 scopus 로고
    • Sensitivity analysis for nonlinear programs and variational inequalities with nonunique multipliers
    • KYPARISIS, J., Sensitivity Analysis for Nonlinear Programs and Variational Inequalities with Nonunique Multipliers, Mathematics of Operation Research, Vol. 15, pp. 286-298, 1990.
    • (1990) Mathematics of Operation Research , vol.15 , pp. 286-298
    • Kyparisis, J.1
  • 25
    • 0021446932 scopus 로고
    • Solution point differentiability without strict complementarity in nonlinear programming
    • JITTORNTRUM, K., Solution Point Differentiability without Strict Complementarity in Nonlinear Programming, Mathematical Programming Studies, Vol. 21, pp. 127-138, 1984.
    • (1984) Mathematical Programming Studies , vol.21 , pp. 127-138
    • Jittorntrum, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.